plz its easy math help i relly need the answer!!!!!!?

Question

do u know there is a grid and i need to work out the 20th rectangle
it starts on the (1,1) and the coner of the firs number is (4,1) the coner of the second rectangle is (7,3) and the coner of the third is (10,5) so i need to work out the coner of the 20th rectangle plz help im really stuck on it HELP HELP HELP!!!!!!!!!!!!!!!!!!!!!

Answer 1

Wow.. I have no idea what you're talking about, but it sounds like you have a sequence of points - [(4, 1), (7, 3), (10, 5)...] and need to find the 20th point in this sequence. If I have interpreted your problem correctly, then note that every point is 3 units to the right and 2 units above the previous point. This means that we can write a recurrence relation:

S_1=(4, 1)
S_n=S_(n-1) + (3, 2)

Where S_n is the coordinates of the nth point. Since each iteration moves by (3, 2), we can generate an explicit formula for this sequence as (3, 2)*n + some constant. Simple inspection tells us this constant is (1, -1) (alternatively, solve the recurrence relation for n=0, using S_1=S_0 + (3, 2)). Thus we have:

S_n = (1, -1) + (3, 2)*n
Now we just solve for n=20
S_n = (1, -1) + (3, 2)*20
S_n = (1, -1) + (60, 40)
S_n = (61, 39)

Thus the 20th point in the sequence is (61, 39)

Answer 2

Pascal is ON DOT!! He has answered you and has really HELPED you ahead of me!! He is right!! The corner of the 20th rectangle is (61,39)

Answer 3

it goes up like this: ((+3),(+2))
so if the first one is (4,1) then 19 later would be: ((3x19=57),(2x19=38))=
(57,38)
then you add the first one (4,1)= (61,39)

Answer 4

ummmm...ur questiong says it's easy math...do it yourself